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Simplifying -2(x + 2) + -4x = 3(x + 1) Reorder the terms: -2(2 + x) + -4x = 3(x + 1) (2 * -2 + x * -2) + -4x = 3(x + 1) (-4 + -2x) + -4x = 3(x + 1) Combine like terms: -2x + -4x = -6x -4 + -6x = 3(x + 1) Reorder the terms: -4 + -6x = 3(1 + x) -4 + -6x = (1 * 3 + x * 3) -4 + -6x = (3 + 3x) Solving -4 + -6x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -6x + -3x = 3 + 3x + -3x Combine like terms: -6x + -3x = -9x -4 + -9x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -9x = 3 + 0 -4 + -9x = 3 Add '4' to each side of the equation. -4 + 4 + -9x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 3 + 4 -9x = 3 + 4 Combine like terms: 3 + 4 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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